On the approximation of dynamical systems subjected to strong parametric excitations

R. Pandiyan; E. A. Butcher; S. C. Sinha

On the approximation of dynamical systems subjected to strong parametric excitations

R. Pandiyan
, E. A. Butcher
, S. C. Sinha

Research output: Contribution to journal › Conference article › peer-review

Abstract

A new approach for constructing equivalent approximate time-invariant forms for general multi-dimensional dynamical systems subjected to periodic parametric excitations is presented. The technique is based on the application of the Liapunov-Floquet transformation and normal form theory. It is shown that a dynamical system described by a set of second order differential equations with periodic coefficients can be transformed to a similar set of equations which is time-invariant.

Original language	English (US)
Pages (from-to)	275-282
Number of pages	8
Journal	American Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume	192
State	Published - 1994
Externally published	Yes
Event	Proceedings of the 1994 International Mechanical Engineering Congress and Exposition - Chicago, IL, USA Duration: Nov 6 1994 → Nov 11 1994

ASJC Scopus subject areas

Mechanical Engineering

Cite this

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title = "On the approximation of dynamical systems subjected to strong parametric excitations",

abstract = "A new approach for constructing equivalent approximate time-invariant forms for general multi-dimensional dynamical systems subjected to periodic parametric excitations is presented. The technique is based on the application of the Liapunov-Floquet transformation and normal form theory. It is shown that a dynamical system described by a set of second order differential equations with periodic coefficients can be transformed to a similar set of equations which is time-invariant.",

author = "R. Pandiyan and Butcher, \{E. A.\} and Sinha, \{S. C.\}",

year = "1994",

language = "English (US)",

volume = "192",

pages = "275--282",

journal = "American Society of Mechanical Engineers, Applied Mechanics Division, AMD",

issn = "0160-8835",

publisher = "American Society of Mechanical Engineers (ASME)",

note = "Proceedings of the 1994 International Mechanical Engineering Congress and Exposition ; Conference date: 06-11-1994 Through 11-11-1994",

}

TY - JOUR

T1 - On the approximation of dynamical systems subjected to strong parametric excitations

AU - Pandiyan, R.

AU - Butcher, E. A.

AU - Sinha, S. C.

PY - 1994

Y1 - 1994

N2 - A new approach for constructing equivalent approximate time-invariant forms for general multi-dimensional dynamical systems subjected to periodic parametric excitations is presented. The technique is based on the application of the Liapunov-Floquet transformation and normal form theory. It is shown that a dynamical system described by a set of second order differential equations with periodic coefficients can be transformed to a similar set of equations which is time-invariant.

AB - A new approach for constructing equivalent approximate time-invariant forms for general multi-dimensional dynamical systems subjected to periodic parametric excitations is presented. The technique is based on the application of the Liapunov-Floquet transformation and normal form theory. It is shown that a dynamical system described by a set of second order differential equations with periodic coefficients can be transformed to a similar set of equations which is time-invariant.

UR - https://www.scopus.com/pages/publications/0028752422

UR - https://www.scopus.com/pages/publications/0028752422#tab=citedBy

M3 - Conference article

AN - SCOPUS:0028752422

SN - 0160-8835

VL - 192

SP - 275

EP - 282

JO - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

JF - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

T2 - Proceedings of the 1994 International Mechanical Engineering Congress and Exposition

Y2 - 6 November 1994 through 11 November 1994

ER -

On the approximation of dynamical systems subjected to strong parametric excitations

Abstract

ASJC Scopus subject areas

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